annotate scripts/set/unique.m @ 11587:c792872f8942

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author John W. Eaton <jwe@octave.org>
date Thu, 20 Jan 2011 17:35:29 -0500
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1 ## Copyright (C) 2000-2011 Paul Kienzle
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2 ## Copyright (C) 2008-2009 Jaroslav Hajek
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3 ##
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4 ## This file is part of Octave.
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5 ##
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6 ## Octave is free software; you can redistribute it and/or modify it
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7 ## under the terms of the GNU General Public License as published by
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8 ## the Free Software Foundation; either version 3 of the License, or (at
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9 ## your option) any later version.
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10 ##
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11 ## Octave is distributed in the hope that it will be useful, but
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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14 ## General Public License for more details.
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15 ##
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16 ## You should have received a copy of the GNU General Public License
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17 ## along with Octave; see the file COPYING. If not, see
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18 ## <http://www.gnu.org/licenses/>.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {} unique (@var{x})
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22 ## @deftypefnx {Function File} {} unique (@var{x}, "rows")
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23 ## @deftypefnx {Function File} {} unique (@dots{}, "first")
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24 ## @deftypefnx {Function File} {} unique (@dots{}, "last")
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25 ## @deftypefnx {Function File} {[@var{y}, @var{i}, @var{j}] =} unique (@dots{})
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26 ## Return the unique elements of @var{x}, sorted in ascending order.
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27 ## If the input @var{x} is a vector then the output is also a vector with the
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28 ## same orientation (row or column) as the input. For a matrix input the
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29 ## output is always a column vector. @var{x} may also be a cell array of
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30 ## strings.
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31 ##
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32 ## If the optional argument @code{"rows"} is supplied, return the unique
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33 ## rows of @var{x}, sorted in ascending order.
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34 ##
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35 ## If requested, return index vectors @var{i} and @var{j} such that
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36 ## @code{x(i)==y} and @code{y(j)==x}.
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37 ##
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38 ## Additionally, if @var{i} is a requested output then one of @code{"first"} or
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39 ## @code{"last"} may be given as an input. If @code{"last"} is specified,
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40 ## return the highest possible indices in @var{i}, otherwise, if @code{"first"}
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41 ## is specified, return the lowest. The default is @code{"last"}.
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42 ## @seealso{union, intersect, setdiff, setxor, ismember}
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43 ## @end deftypefn
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44
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45 function [y, i, j] = unique (x, varargin)
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46
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47 if (nargin < 1)
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48 print_usage ();
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49 endif
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50
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51 if (nargin > 1)
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52 ## parse options
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53 if (iscellstr (varargin))
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54 varargin = unique (varargin);
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55 optfirst = strmatch ("first", varargin, "exact") > 0;
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56 optlast = strmatch ("last", varargin, "exact") > 0;
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57 optrows = strmatch ("rows", varargin, "exact") > 0;
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58 if (optfirst && optlast)
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59 error ('unique: cannot specify both "last" and "first"');
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60 elseif (optfirst + optlast + optrows != nargin-1)
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61 error ("unique: invalid option");
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62 endif
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63 else
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64 error ("unique: options must be strings");
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65 endif
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66
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67 if (optrows && iscell (x))
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68 warning ('unique: "rows" is ignored for cell arrays');
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69 optrows = false;
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70 endif
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71 else
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72 optfirst = false;
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73 optrows = false;
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74 endif
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75
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76 ## FIXME -- the operations
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77 ##
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78 ## match = (y(1:n-1) == y(2:n));
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79 ## y(idx) = [];
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80 ##
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81 ## are very slow on sparse matrices. Until they are fixed to be as
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82 ## fast as for full matrices, operate on the nonzero elements of the
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83 ## sparse array as long as we are not operating on rows.
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84
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85 if (issparse (x) && ! optrows && nargout <= 1)
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86 if (nnz (x) < numel (x))
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87 y = unique ([0; (full (nonzeros (x)))], varargin{:});
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88 else
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89 ## Corner case where sparse matrix is actually full
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90 y = unique (full (x), varargin{:});
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91 endif
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92 return;
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93 endif
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94
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95 if (optrows)
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96 n = rows (x);
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97 dim = 1;
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98 else
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99 n = numel (x);
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100 dim = (rows (x) == 1) + 1;
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101 endif
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102
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103 y = x;
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104 ## Special cases 0 and 1
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105 if (n == 0)
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106 if (! optrows && isempty (x) && any (size (x)))
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107 if (iscell (y))
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108 y = cell (0, 1);
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109 else
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110 y = zeros (0, 1, class (y));
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111 endif
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112 endif
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113 i = j = [];
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114 return;
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115 elseif (n == 1)
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116 i = j = 1;
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117 return;
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118 endif
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119
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120 if (optrows)
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121 if (nargout > 1)
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122 [y, i] = sortrows (y);
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123 else
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124 y = sortrows (y);
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125 endif
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126 match = all (y(1:n-1,:) == y(2:n,:), 2);
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127 idx = find (match);
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128 y(idx,:) = [];
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129 else
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130 if (! isvector (y))
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131 y = y(:);
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132 endif
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133 if (nargout > 1)
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134 [y, i] = sort (y);
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135 else
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136 y = sort (y);
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137 endif
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138 if (iscell (y))
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139 match = strcmp (y(1:n-1), y(2:n));
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140 else
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141 match = (y(1:n-1) == y(2:n));
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142 endif
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143 idx = find (match);
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144 y(idx) = [];
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145 endif
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146
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147 if (isargout (3))
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148 j = i;
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149 if (dim == 1)
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150 j(i) = cumsum ([1; !match]);
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151 else
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152 j(i) = cumsum ([1, !match]);
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153 endif
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154 endif
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155
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156 if (isargout (2))
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157 if (optfirst)
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158 i(idx+1) = [];
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159 else
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160 i(idx) = [];
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161 endif
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162 endif
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163
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164 endfunction
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165
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166 %!assert(unique([1 1 2; 1 2 1; 1 1 2]),[1;2])
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167 %!assert(unique([1 1 2; 1 0 1; 1 1 2],'rows'),[1 0 1; 1 1 2])
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168 %!assert(unique([]),[])
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169 %!assert(unique([1]),[1])
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170 %!assert(unique([1 2]),[1 2])
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171 %!assert(unique([1;2]),[1;2])
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172 %!assert(unique([1,NaN,Inf,NaN,Inf]),[1,Inf,NaN,NaN])
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173 %!assert(unique({'Foo','Bar','Foo'}),{'Bar','Foo'})
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174 %!assert(unique({'Foo','Bar','FooBar'}'),{'Bar','Foo','FooBar'}')
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175 %!assert(unique(zeros(1,0)), zeros(0,1))
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176 %!assert(unique(zeros(1,0), 'rows'), zeros(1,0))
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177 %!assert(unique(cell(1,0)), cell(0,1))
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178 %!assert(unique({}), {})
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179 %!assert(unique([1,2,2,3,2,4], 'rows'), [1,2,2,3,2,4])
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180 %!assert(unique([1,2,2,3,2,4]), [1,2,3,4])
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181 %!assert(unique([1,2,2,3,2,4]', 'rows'), [1,2,3,4]')
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182 %!assert(unique(sparse([2,0;2,0])), [0,2]')
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183 %!assert(unique(sparse([1,2;2,3])), [1,2,3]')
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184 %!assert(unique([1,2,2,3,2,4]', 'rows'), [1,2,3,4]')
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185 %!assert(unique(single([1,2,2,3,2,4]), 'rows'), single([1,2,2,3,2,4]))
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186 %!assert(unique(single([1,2,2,3,2,4])), single([1,2,3,4]))
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187 %!assert(unique(single([1,2,2,3,2,4]'), 'rows'), single([1,2,3,4]'))
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188 %!assert(unique(uint8([1,2,2,3,2,4]), 'rows'), uint8([1,2,2,3,2,4]))
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189 %!assert(unique(uint8([1,2,2,3,2,4])), uint8([1,2,3,4]))
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190 %!assert(unique(uint8([1,2,2,3,2,4]'), 'rows'), uint8([1,2,3,4]'))
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191 %!test
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192 %! [a,i,j] = unique([1,1,2,3,3,3,4]);
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193 %! assert(a,[1,2,3,4])
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194 %! assert(i,[2,3,6,7])
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195 %! assert(j,[1,1,2,3,3,3,4])
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196 %!
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197 %!test
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198 %! [a,i,j] = unique([1,1,2,3,3,3,4]','first');
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199 %! assert(a,[1,2,3,4]')
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200 %! assert(i,[1,3,4,7]')
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201 %! assert(j,[1,1,2,3,3,3,4]')
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202 %!
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203 %!test
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204 %! [a,i,j] = unique({'z'; 'z'; 'z'});
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205 %! assert(a,{'z'})
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206 %! assert(i,[3]')
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207 %! assert(j,[1,1,1]')
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208 %!
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209 %!test
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210 %! A=[1,2,3;1,2,3];
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211 %! [a,i,j] = unique(A,'rows');
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212 %! assert(a,[1,2,3])
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213 %! assert(A(i,:),a)
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214 %! assert(a(j,:),A)